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For a ride at the county​ fair, you must be at least 4 feet 6 inches tall. The histogram shows the heights of people who entered the line for this ride. How many people could not go on the​ ride?

Heights of People in Line
33
36
39
42
45
48
51
54
30
57
60
63
66
2
4
6
8
10
12
14
16
18
20
22
24
Inches
Frequency

A histogram is titled Heights of People in Line. A horizontal axis is labeled Inches from 30 to 66. A vertical axis is labeled Frequency from 0 to 24. The histogram contains twelve vertical bars. From left to right, the first bar covers 30 to 33 on the horizontal axis and has height 3. The second bar covers 33 to 36 on the horizontal axis and has height 0. The third bar covers 36 to 39 on the horizontal axis and has height 3. The fourth bar covers 42 to 45 on the horizontal axis and has height 11. The fifth bar covers 45 to 48 on the horizontal axis and has height 23. The sixth bar covers 48 to 51 on the horizontal axis and has height 5. The seventh bar covers 51 to 54 on the horizontal axis and has height 9. The eigth bar covers 54 to 57 on the horizontal axis and has height 10. The ninth bar covers 57 to 60 on the horizontal axis and has height 21. The tenth bar covers 60 to 63 on the horizontal axis and has height 0. The eleventh bar covers 6345 to 66 on the horizontal axis and has height 13.The twelveth bar covers 6345 to 66 on the horizontal axis and has height 1.
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Part 1
The number of people who could not go on the ride is
  
enter your response here.

1 answer

To determine how many people could not go on the ride, we need to find out how many of them are shorter than 4 feet 6 inches.

First, convert 4 feet 6 inches into inches:

  • 4 feet = 48 inches
  • 6 inches = 6 inches
  • So, 4 feet 6 inches = 48 + 6 = 54 inches.

Now, we'll analyze the histogram to count the number of people who are shorter than 54 inches. We analyze the histogram bars for heights below 54 inches:

  1. 30 to 33 inches: height = 3
  2. 33 to 36 inches: height = 0
  3. 36 to 39 inches: height = 3
  4. 39 to 42 inches: height = 0
  5. 42 to 45 inches: height = 11
  6. 45 to 48 inches: height = 23
  7. 48 to 51 inches: height = 5
  8. 51 to 54 inches: height = 9

Now, let's sum these frequencies:

\[ 3 (30-33) + 0 (33-36) + 3 (36-39) + 0 (39-42) + 11 (42-45) + 23 (45-48) + 5 (48-51) + 9 (51-54) = 54 \]

Therefore, the total number of people who could not go on the ride is 54.